MCR3U
Sec. 4.4 Simplifying Algebraic Expressions
Involving Exponents
Example # 1: Using exponent rules to simplify algebraic expressions.
Simplify and write final answers using positive exponents only.
Example # 2: Evaluate the expression
Method 1: Direct Substitution
for x = -3 and n = 2.
Method 2: Simplify than Substitute
Algebraic expressions involving powers containing integer and rational exponents can be simplified with the use of the exponent rules in the same way numerical expressions can be simplified. When evaluating an algebraic expression by substitution, simplify prior to substituting. The answer will be the same if substitution is done prior to simplifying, but the number of calculations will be reduced.
Algebraic expressions involving radicals can often be simplified by changing the expression into exponential form and applying the rules of exponents.
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MCR3U
Example # 3: Simplify and express the final answer using positive exponents only.
Example # 4: Write as a single power.
Homework p. 235 # 1 - 9
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